Details

Time bar (total: 5.3s)

sample13.0ms

Algorithm
intervals
Results
5.0ms235×body80valid
1.0ms8×body1280valid
1.0ms7×body640valid
0.0ms3×body2560valid
0.0ms2×body320valid
0.0ms1×body160valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0123
1193
2293
3413
4513
5793
61343
71693
81853
92133
102263
112263

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (- x y) 2.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r- flip3-+ div-sub sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 13
Calls
1 calls:
8.0ms
(+ x (/ (- x y) 2.0))

series38.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(+ x (/ (- x y) 2.0))

simplify78.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09181
124274
270474
3341274
4500174

prune36.0ms

Filtered
16 candidates to 12 candidates (75.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New10616
Fresh000
Picked101
Done000
Total11617

Merged error: 0.0b

Counts
17 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* 1.5 x) (* 0.5 y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- (* 1.5 x) (* 0.5 y))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(- (* 1.5 x) (* 0.5 y))

simplify80.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
08781
127474
288474
3212674
4500174

prune28.0ms

Filtered
15 candidates to 10 candidates (66.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New15015
Fresh055
Picked011
Done000
Total15621

Merged error: 0.0b

Counts
21 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.5b
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
11.0ms
(cbrt (+ x (/ (- x y) 2.0)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
20.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

series1.7s

Counts
4 → 12
Calls
4 calls:
428.0ms
(cbrt (+ x (/ (- x y) 2.0)))
427.0ms
(cbrt (+ x (/ (- x y) 2.0)))
423.0ms
(cbrt (+ x (/ (- x y) 2.0)))
388.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

simplify71.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
02631109
17591044
22601956
35001940

prune238.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1016107
Fresh224
Picked011
Done011
Total10310113

Merged error: 0.0b

Counts
113 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ (- x y) 2.0))) (* (* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))))
0.6b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
390×cbrt-div
136×frac-times
111×flip3-+ flip-+
50×associate-*r/
44×associate-*l/
37×cbrt-prod
20×*-un-lft-identity
15×pow1
13×add-exp-log add-cube-cbrt pow1/3
12×add-sqr-sqrt
9×pow-prod-down
7×associate-*l*
6×prod-exp add-cbrt-cube cbrt-unprod
5×pow-prod-up
4×distribute-lft-out add-log-exp
1×swap-sqr associate-*r* pow-sqr *-commutative
Counts
4 → 160
Calls
4 calls:
52.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (* (* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))))
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
10.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series1.7s

Counts
4 → 12
Calls
4 calls:
397.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (* (* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))))
425.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
423.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
429.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify148.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
07375233
116225088
245424815
350024695

prune451.0ms

Filtered
172 candidates to 108 candidates (62.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1711172
Fresh167
Picked011
Done022
Total17210182

Merged error: 0.0b

Counts
182 → 10

regimes148.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample333.0ms

Algorithm
intervals
Results
160.0ms7386×body80valid
19.0ms217×body1280valid
12.0ms174×body640valid
11.0ms97×body2560valid
4.0ms80×body320valid
2.0ms48×body160valid